All categories

3 years ago

Unit Test 4

Mathematics

1 answer:

o-na [289]3 years ago

3 0

Answer:

C. 30

Step-by-step explanation:

circumference of the semicircular plot

$=\frac{1}{2}\times\pi d+d\\\\=\frac{1}{2}\times 3.14\times 35+ 35\\\\= \frac{1}{2}\times 109.9+35\\\\= 54.95+35\\\\= 89.95\\\\No. \: of\: poles= \frac{89.95}{3}\\\\= 29.98\\\\\approx 30$

You might be interested in

Hannah invested $4000 in a savings account that that earned 2% interest compounded quarterly. she determined that if she does no

Svetach [21]

Answer:

Her account balance after 3 years is $4,246.71

Step-by-step explanation:

In this question, we are tasked with calculating what Hannah's account balance will be after 3 years and the error she made in her calculations

Mathematically, to calculate the account balance after 3 years, we use the formula for the compound interest as follows.

Mathematically, the amount A earned on a compound interest is calculated as

A = P $(1+r/n)^{nt}$

where A is the account balance after the number of years which is what we want to know

P is the initial amount invested which is $4000

r is the interest rate which is 2%(2/100 = 0.02) according to the question

n is the number of times interest is compounded per year which is 4(quarterly means every 3 months)

t is the number of years which is 3

We plug the values into the question;

A = 4000(1 + 0.02/4)^(3)(4)

A = 4000(1+0.005)^12

A = 4000(1.005)^12

A = $4,246.71

P.S ; I do not see Hannah's calculation and as such I cannot spot where she made the error in her calculations

5 0

4 years ago

Ben has 47 trading cards he stores them in a plastic sleeves. each sleeve holds 6 cards. How many full sleeves are there?

Westkost [7]

47,6 then you simply

3 0

4 years ago

Which factorization is equivalent to this expression?

grigory [225]

Answer:

$10(3x+7)$

Step-by-step explanation:

we have the expression:

$30x + 70$

To factor this expression we need to indentify the components that are common in both terms.

At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:

$10*3=30\\10*7=70$

so we can substitute this into the expression:

$10*3x+10*7$

and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:

$10(3x+7)$

8 0

3 years ago

when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago

I don’t know the answer

anastassius [24]

I THINK IT IS B

B) D(X)= X-8x4

7 0

3 years ago